54988560 has 240 divisors, whose sum is σ = 206826048. Its totient is φ = 12979200.

The previous prime is 54988559. The next prime is 54988567. The reversal of 54988560 is 6588945.

54988560 is a `hidden beast` number, since 5 + 4 + 9 + 88 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54988567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419695 + ... + 419825.

Almost surely, 2^54988560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103413024).

54988560 is an abundant number, since it is smaller than the sum of its proper divisors (151837488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54988560 is a wasteful number, since it uses less digits than its factorization.

54988560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 54988560 is about 7415.4271623420. The cubic root of 54988560 is about 380.2688771107.

It can be divided in two parts, 549885 and 60, that added together give a palindrome (549945).

The spelling of 54988560 in words is "fifty-four million, nine hundred eighty-eight thousand, five hundred sixty".